66.17/66.25 MAYBE 66.17/66.25 66.17/66.25 Preprocessing Cost Relations 66.17/66.25 ===================================== 66.17/66.25 66.17/66.25 #### Computed strongly connected components 66.17/66.25 0. recursive : [f22/34,f33/34] 66.17/66.25 1. non_recursive : [exit_location/1] 66.17/66.25 2. recursive : [f183/63,f196/63,f221/63,f228/63] 66.17/66.25 3. recursive : [f206/193,f213/193,f221_loop_cont/194] 66.17/66.25 4. recursive : [f281/65,f294/65,f311/65,f319/65,f326/65] 66.17/66.25 5. recursive : [f113/63,f121/63,f128/63,f83/63] 66.17/66.25 6. recursive : [f121_loop_cont/194,f89/193,f96/193] 66.17/66.25 7. recursive : [f149/193,f206_loop_cont/194,f249/193,f281_loop_cont/194,f347/193,f53/193,f89_loop_cont/194] 66.17/66.25 8. non_recursive : [f666666/97] 66.17/66.25 9. non_recursive : [f53_loop_cont/98] 66.17/66.25 10. non_recursive : [f22_loop_cont/98] 66.17/66.25 11. non_recursive : [f3/97] 66.17/66.25 66.17/66.25 #### Obtained direct recursion through partial evaluation 66.17/66.25 0. SCC is partially evaluated into f22/34 66.17/66.25 1. SCC is completely evaluated into other SCCs 66.17/66.25 2. SCC is partially evaluated into f221/63 66.17/66.25 3. SCC is partially evaluated into f206/193 66.17/66.25 4. SCC is partially evaluated into f281/65 66.17/66.25 5. SCC is partially evaluated into f121/63 66.17/66.25 6. SCC is partially evaluated into f89/193 66.17/66.25 7. SCC is partially evaluated into f53/193 66.17/66.25 8. SCC is completely evaluated into other SCCs 66.17/66.25 9. SCC is partially evaluated into f53_loop_cont/98 66.17/66.25 10. SCC is partially evaluated into f22_loop_cont/98 66.17/66.25 11. SCC is partially evaluated into f3/97 66.17/66.25 66.17/66.25 Control-Flow Refinement of Cost Relations 66.17/66.25 ===================================== 66.17/66.25 66.17/66.25 ### Specialization of cost equations f22/34 66.17/66.25 * CE 8 is refined into CE [47] 66.17/66.25 * CE 2 is refined into CE [48] 66.17/66.25 * CE 3 is refined into CE [49] 66.17/66.25 * CE 9 is refined into CE [50] 66.17/66.25 * CE 6 is refined into CE [51] 66.17/66.25 * CE 7 is refined into CE [52] 66.17/66.25 * CE 4 is refined into CE [53] 66.17/66.25 * CE 5 is refined into CE [54] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f22/34 66.17/66.25 * CEs [53] --> Loop 45 66.17/66.25 * CEs [54] --> Loop 46 66.17/66.25 * CEs [51] --> Loop 47 66.17/66.25 * CEs [52] --> Loop 48 66.17/66.25 * CEs [47] --> Loop 49 66.17/66.25 * CEs [50] --> Loop 50 66.17/66.25 * CEs [48] --> Loop 51 66.17/66.25 * CEs [49] --> Loop 52 66.17/66.25 66.17/66.25 ### Ranking functions of CR f22(A,B,F,G,H,I,J,L,M,N,O,P,Q,R,S,T,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f22(A,B,F,G,H,I,J,L,M,N,O,P,Q,R,S,T,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f221/63 66.17/66.25 * CE 42 is discarded (unfeasible) 66.17/66.25 * CE 41 is discarded (unfeasible) 66.17/66.25 * CE 39 is discarded (unfeasible) 66.17/66.25 * CE 40 is discarded (unfeasible) 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f221/63 66.17/66.25 66.17/66.25 ### Ranking functions of CR f221(Y,C1,D1,E1,F1,G1,H1,I1,J1,K1,M1,N1,O1,P1,Q1,R1,S1,U1,V1,W1,X1,Y1,Z1,A2,B2,K2,L2,M2,N2,O2,P2,Q2,R2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f221(Y,C1,D1,E1,F1,G1,H1,I1,J1,K1,M1,N1,O1,P1,Q1,R1,S1,U1,V1,W1,X1,Y1,Z1,A2,B2,K2,L2,M2,N2,O2,P2,Q2,R2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4) 66.17/66.25 66.17/66.25 Warning: no base case found for predicate 66.17/66.25 66.17/66.25 ### Specialization of cost equations f206/193 66.17/66.25 * CE 26 is discarded (unfeasible) 66.17/66.25 * CE 30 is refined into CE [55] 66.17/66.25 * CE 27 is discarded (unfeasible) 66.17/66.25 * CE 29 is refined into CE [56] 66.17/66.25 * CE 28 is discarded (unfeasible) 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f206/193 66.17/66.25 * CEs [55] --> Loop 53 66.17/66.25 * CEs [56] --> Loop 54 66.17/66.25 66.17/66.25 ### Ranking functions of CR f206(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f206(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f281/65 66.17/66.25 * CE 31 is refined into CE [57] 66.17/66.25 * CE 33 is refined into CE [58] 66.17/66.25 * CE 32 is refined into CE [59] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f281/65 66.17/66.25 * CEs [59] --> Loop 55 66.17/66.25 * CEs [57] --> Loop 56 66.17/66.25 * CEs [58] --> Loop 57 66.17/66.25 66.17/66.25 ### Ranking functions of CR f281(Y,C1,D1,E1,F1,G1,H1,I1,J1,K1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,S2,T2,U2,V2,W2,X2,Y2,Z2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f281(Y,C1,D1,E1,F1,G1,H1,I1,J1,K1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,S2,T2,U2,V2,W2,X2,Y2,Z2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f121/63 66.17/66.25 * CE 44 is refined into CE [60] 66.17/66.25 * CE 43 is refined into CE [61] 66.17/66.25 * CE 45 is refined into CE [62] 66.17/66.25 * CE 46 is refined into CE [63] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f121/63 66.17/66.25 * CEs [60] --> Loop 58 66.17/66.25 * CEs [61] --> Loop 59 66.17/66.25 * CEs [62] --> Loop 60 66.17/66.25 * CEs [63] --> Loop 61 66.17/66.25 66.17/66.25 ### Ranking functions of CR f121(U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f121(U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f89/193 66.17/66.25 * CE 36 is refined into CE [64,65] 66.17/66.25 * CE 37 is refined into CE [66] 66.17/66.25 * CE 35 is refined into CE [67] 66.17/66.25 * CE 38 is refined into CE [68] 66.17/66.25 * CE 34 is refined into CE [69] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f89/193 66.17/66.25 * CEs [69] --> Loop 62 66.17/66.25 * CEs [65] --> Loop 63 66.17/66.25 * CEs [66] --> Loop 64 66.17/66.25 * CEs [64] --> Loop 65 66.17/66.25 * CEs [67] --> Loop 66 66.17/66.25 * CEs [68] --> Loop 67 66.17/66.25 66.17/66.25 ### Ranking functions of CR f89(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f89(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f53/193 66.17/66.25 * CE 14 is refined into CE [70,71,72,73,74,75,76] 66.17/66.25 * CE 13 is refined into CE [77] 66.17/66.25 * CE 21 is refined into CE [78,79,80,81,82,83,84,85,86] 66.17/66.25 * CE 22 is refined into CE [87,88,89] 66.17/66.25 * CE 19 is refined into CE [90] 66.17/66.25 * CE 20 is refined into CE [91] 66.17/66.25 * CE 23 is refined into CE [92] 66.17/66.25 * CE 18 is refined into CE [93,94,95,96,97,98,99] 66.17/66.25 * CE 17 is refined into CE [100] 66.17/66.25 * CE 16 is refined into CE [101,102,103,104,105,106,107] 66.17/66.25 * CE 15 is refined into CE [108] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f53/193 66.17/66.25 * CEs [93,95] --> Loop 68 66.17/66.25 * CEs [101,103] --> Loop 69 66.17/66.25 * CEs [100] --> Loop 70 66.17/66.25 * CEs [108] --> Loop 71 66.17/66.25 * CEs [99] --> Loop 72 66.17/66.25 * CEs [98] --> Loop 73 66.17/66.25 * CEs [97] --> Loop 74 66.17/66.25 * CEs [107] --> Loop 75 66.17/66.25 * CEs [106] --> Loop 76 66.17/66.25 * CEs [105] --> Loop 77 66.17/66.25 * CEs [94,96] --> Loop 78 66.17/66.25 * CEs [102,104] --> Loop 79 66.17/66.25 * CEs [78,79,81,82,87,88] --> Loop 80 66.17/66.25 * CEs [92] --> Loop 81 66.17/66.25 * CEs [90,91] --> Loop 82 66.17/66.25 * CEs [77] --> Loop 83 66.17/66.25 * CEs [70,72] --> Loop 84 66.17/66.25 * CEs [76] --> Loop 85 66.17/66.25 * CEs [75] --> Loop 86 66.17/66.25 * CEs [74] --> Loop 87 66.17/66.25 * CEs [80,83,84,85,86,89] --> Loop 88 66.17/66.25 * CEs [71,73] --> Loop 89 66.17/66.25 66.17/66.25 ### Ranking functions of CR f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7) 66.17/66.25 * Partial RF of phase [68,69,70,71,72,73,74,75,76,77,78,79]: 66.17/66.25 - RF of loop [69:1,71:1,79:1]: 66.17/66.25 -K+1 depends on loops [72:1,73:1,74:1] 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f53_loop_cont/98 66.17/66.25 * CE 24 is refined into CE [109] 66.17/66.25 * CE 25 is refined into CE [110] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f53_loop_cont/98 66.17/66.25 * CEs [109] --> Loop 90 66.17/66.25 * CEs [110] --> Loop 91 66.17/66.25 66.17/66.25 ### Ranking functions of CR f53_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,S3,T3) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f53_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,S3,T3) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f22_loop_cont/98 66.17/66.25 * CE 12 is refined into CE [111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126] 66.17/66.25 * CE 11 is refined into CE [127] 66.17/66.25 * CE 10 is refined into CE [128] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f22_loop_cont/98 66.17/66.25 * CEs [113] --> Loop 92 66.17/66.25 * CEs [111] --> Loop 93 66.17/66.25 * CEs [112,114,115] --> Loop 94 66.17/66.25 * CEs [127] --> Loop 95 66.17/66.25 * CEs [128] --> Loop 96 66.17/66.25 * CEs [117,120,121,123] --> Loop 97 66.17/66.25 * CEs [116,118,119,122,124,125,126] --> Loop 98 66.17/66.25 66.17/66.25 ### Ranking functions of CR f22_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,S3,T3) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f22_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,S3,T3) 66.17/66.25 66.17/66.25 66.17/66.25 ### Specialization of cost equations f3/97 66.17/66.25 * CE 1 is refined into CE [129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175] 66.17/66.25 66.17/66.25 66.17/66.25 ### Cost equations --> "Loop" of f3/97 66.17/66.25 * CEs [141,142,146,147,151,152,156,157,161,162,167,168,169,170,171,172,173,174,175] --> Loop 99 66.17/66.25 * CEs [129,130,131,132,133,134,135,136,137,138,139,140,143,144,145,148,149,150,153,154,155,158,159,160,163,164,165,166] --> Loop 100 66.17/66.25 66.17/66.25 ### Ranking functions of CR f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3) 66.17/66.25 66.17/66.25 #### Partial ranking functions of CR f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3) 66.17/66.25 66.17/66.25 66.17/66.25 Computing Bounds 66.17/66.25 ===================================== 66.17/66.25 66.17/66.25 #### Cost of chains of f22(A,B,F,G,H,I,J,L,M,N,O,P,Q,R,S,T,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4): 66.17/66.25 * Chain [[47,48]]...: 2*it(47)+0 66.17/66.25 with precondition: [A=3,B=0,H=0,0>=I,L=0] 66.17/66.25 66.17/66.25 * Chain [[47,48],50]: 2*it(47)+0 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=4,0>=I] 66.17/66.25 66.17/66.25 * Chain [[47,48],49]: 2*it(47)+0 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=9,X3=11,B4=0,N=D4,O=E4,P=F4,Q=G4,R=H4,S=I4,T=J4,Q3=K4,R3=L4,0>=I,0>=C4,I>=A4+1] 66.17/66.25 66.17/66.25 * Chain [[47,48],46,52]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=7,B4=1,F4=7,G4=0,H4=0,K4=0,L4=0,F=Y3,F=D4,A4+1=I4,J=J4,0>=I,Z3>=1,C4>=1,E4>=1,I>=A4+3] 66.17/66.25 66.17/66.25 * Chain [[47,48],46,51]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=8,B4=1,F4=7,G4=0,H4=0,K4=0,L4=0,F=Y3,F=D4,A4+2=I4,J=J4,0>=I,0>=Z3,C4>=1,E4>=1,I>=A4+4] 66.17/66.25 66.17/66.25 * Chain [[47,48],46,50]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=4,0>=I] 66.17/66.25 66.17/66.25 * Chain [[47,48],46,49]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=9,X3=11,B4=1,F4=7,G4=0,H4=0,F=D4,Z3=E4,A4=I4,J=J4,Q3=K4,R3=L4,0>=I,Z3>=1,C4>=1,I>=A4+2] 66.17/66.25 66.17/66.25 * Chain [[47,48],45,52]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=7,B4=1,F4=8,G4=0,H4=0,K4=0,L4=0,F=Y3,F=D4,A4+1=I4,J=J4,0>=I,0>=E4,Z3>=1,C4>=1,I>=A4+4] 66.17/66.25 66.17/66.25 * Chain [[47,48],45,51]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=8,B4=1,F4=8,G4=0,H4=0,K4=0,L4=0,F=Y3,F=D4,A4+2=I4,J=J4,0>=I,0>=Z3,0>=E4,C4>=1,I>=A4+5] 66.17/66.25 66.17/66.25 * Chain [[47,48],45,50]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=4,0>=I] 66.17/66.25 66.17/66.25 * Chain [[47,48],45,49]: 2*it(47)+1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=9,X3=11,B4=1,F4=8,G4=0,H4=0,F=D4,Z3=E4,A4=I4,J=J4,Q3=K4,R3=L4,0>=I,0>=Z3,C4>=1,I>=A4+3] 66.17/66.25 66.17/66.25 * Chain [50]: 0 66.17/66.25 with precondition: [A=3,B=0,H=0,W3=4,1>=L,L>=0] 66.17/66.25 66.17/66.25 * Chain [49]: 0 66.17/66.25 with precondition: [A=3,B=0,H=0,W3=9,X3=11,Z3=G,C4=M,D4=N,E4=O,F4=P,G4=Q,H4=R,I4=S,J4=T,K4=Q3,L4=R3,I=A4,L=B4,0>=I,1>=L,L>=0] 66.17/66.25 66.17/66.25 * Chain [46,52]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=7,B4=1,F4=7,G4=0,H4=0,K4=0,L4=0,I4+1=I,F=Y3,I4=A4+1,F=D4,J=J4,0>=I4+1,Z3>=1,C4>=1,E4>=1] 66.17/66.25 66.17/66.25 * Chain [46,51]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=8,B4=1,F4=7,G4=0,H4=0,K4=0,L4=0,I4+1=I,F=Y3,I4=A4+2,F=D4,J=J4,0>=Z3,0>=I4+1,C4>=1,E4>=1] 66.17/66.25 66.17/66.25 * Chain [46,50]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=4,0>=I] 66.17/66.25 66.17/66.25 * Chain [46,49]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=9,X3=11,B4=1,F4=7,G4=0,H4=0,A4+1=I,F=D4,Z3=E4,A4=I4,J=J4,Q3=K4,R3=L4,0>=A4+1,Z3>=1,C4>=1] 66.17/66.25 66.17/66.25 * Chain [45,52]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=7,B4=1,F4=8,G4=0,H4=0,K4=0,L4=0,I4+2=I,F=Y3,I4=A4+1,F=D4,J=J4,0>=E4,0>=I4+2,Z3>=1,C4>=1] 66.17/66.25 66.17/66.25 * Chain [45,51]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=8,X3=8,B4=1,F4=8,G4=0,H4=0,K4=0,L4=0,I4+2=I,F=Y3,I4=A4+2,F=D4,J=J4,0>=Z3,0>=E4,0>=I4+2,C4>=1] 66.17/66.25 66.17/66.25 * Chain [45,50]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=4,0>=I] 66.17/66.25 66.17/66.25 * Chain [45,49]: 1 66.17/66.25 with precondition: [A=3,B=0,H=0,L=0,W3=9,X3=11,B4=1,F4=8,G4=0,H4=0,A4+2=I,F=D4,Z3=E4,A4=I4,J=J4,Q3=K4,R3=L4,0>=Z3,0>=A4+2,C4>=1] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f221(Y,C1,D1,E1,F1,G1,H1,I1,J1,K1,M1,N1,O1,P1,Q1,R1,S1,U1,V1,W1,X1,Y1,Z1,A2,B2,K2,L2,M2,N2,O2,P2,Q2,R2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4): 66.17/66.25 66.17/66.25 #### Cost of chains of f206(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7): 66.17/66.25 * Chain [54]: 0 66.17/66.25 with precondition: [A=13,H=0,O1=13,Q1=0,K2=13,Q2=0,W3=3,X3=13,E4=0,V4=0,H5=0,L5=13,N5=0,Q5=0,H6=13,N6=0,O6=0,P1=B,Z3=C,A4=D,B4=E,M1=F,N1=G,R1=I,S1=J,I4=L,J4=M,K4=N,L4=O,M4=P,N4=Q,O4=R,P4=S,Q4=T,R4=U,S4=V,T4=W,U4=X,W4=Z,X4=A1,Y4=B1,Z4=C1,A5=D1,B5=E1,C5=F1,D5=G1,E5=H1,F5=I1,G5=J1,I5=L1,R5=U1,S5=V1,T5=W1,U5=X1,V5=Y1,W5=Z1,X5=A2,Y5=B2,Z5=C2,A6=D2,B6=E2,C6=F2,D6=G2,E6=H2,F6=I2,G6=J2,P1=L2,R1=M2,N1=N2,M1=O2,S1=P2,P6=S2,Q6=T2,R6=U2,S6=V2,T6=W2,U6=X2,V6=Y2,W6=Z2,X6=A3,Y6=B3,Z6=C3,A7=D3,B7=E3,C7=F3,D7=G3,E7=H3,F7=I3,G7=J3,H7=K3,I7=L3,J7=M3,K7=N3,L7=O3,M7=P3,N7=Q3,O7=R3,P1=Y3,M1=C4,N1=D4,R1=F4,S1=G4,K=H4,M1=J5,N1=K5,P1=M5,R1=O5,S1=P5,P1=I6,R1=J6,N1=K6,M1=L6,S1=M6,1>=K,0>=M1] 66.17/66.25 66.17/66.25 * Chain [53]: 0 66.17/66.25 with precondition: [A=13,H=0,O1=13,Q1=0,K2=13,Q2=0,W3=4,P1=B,M1=F,N1=G,R1=I,S1=J,P1=L2,R1=M2,N1=N2,M1=O2,S1=P2,1>=K,0>=M1] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f281(Y,C1,D1,E1,F1,G1,H1,I1,J1,K1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,S2,T2,U2,V2,W2,X2,Y2,Z2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5): 66.17/66.25 * Chain [[55]]...: 1*it(55)+0 66.17/66.25 with precondition: [0>=K1,S2>=1,W3>=4,7>=W3] 66.17/66.25 66.17/66.25 * Chain [[55],57]: 1*it(55)+0 66.17/66.25 with precondition: [W3=4,0>=K1,S2>=1] 66.17/66.25 66.17/66.25 * Chain [[55],56]: 1*it(55)+0 66.17/66.25 with precondition: [W3=7,X3=0,A4=12,C4=1,F4=1,G4=0,J4=13,L4=0,O4=0,R4=12,T4=1,W4=1,Y4=13,Z4=0,A5=0,T2=Z3,V2=B4,X2=D4,Y2=E4,T2=I4,V2=K4,X2=M4,Y2=N4,Y3=P4,T2=Q4,V2=S4,X2=U4,Y2=V4,H4=X4,0>=K1,0>=H4,S2>=1,Y3>=1] 66.17/66.25 66.17/66.25 * Chain [57]: 0 66.17/66.25 with precondition: [W3=4,0>=K1] 66.17/66.25 66.17/66.25 * Chain [56]: 0 66.17/66.25 with precondition: [W3=7,X3=0,G4=0,J4=13,L4=0,O4=0,Y4=13,Z4=0,A5=0,Y3=C1,Z3=D1,A4=E1,B4=F1,C4=G1,D4=H1,E4=I1,F4=J1,P4=U1,Q4=V1,R4=W1,S4=X1,T4=Y1,U4=Z1,V4=A2,W4=B2,I4=T2,K4=V2,M4=X2,N4=Y2,S2=H4,S2=X4,0>=K1,0>=S2] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f121(U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4): 66.17/66.25 * Chain [61]: 0 66.17/66.25 with precondition: [Y=1,W3=4,W1=U,X1=V,Z1=W,V1=X,U1=Z,Y1=A1,A2=B1,G1>=1] 66.17/66.25 66.17/66.25 * Chain [60]: 0 66.17/66.25 with precondition: [Y=1,W3=5,X3=13,Y3=0,A4=0,I4=0,J4=0,M4=13,O4=0,R4=0,Z4=1,W1=U,X1=V,Z1=W,V1=X,U1=Z,Y1=A1,A2=B1,B4=C1,C4=D1,D4=E1,E4=F1,G4=H1,H4=I1,G1=F4,Z3=K4,V1=L4,X1=N4,Z1=P4,A2=Q4,U1=S4,V1=T4,W1=U4,X1=V4,Y1=W4,Z1=X4,A2=Y4,0>=Z3,G1>=1,Y1>=1] 66.17/66.25 66.17/66.25 * Chain [59]: 0 66.17/66.25 with precondition: [Y=1,W3=5,Y3=0,I4=0,J4=0,Z4=0,W1=U,X1=V,Z1=W,V1=X,U1=Z,Y1=A1,A2=B1,B4=C1,C4=D1,D4=E1,E4=F1,G4=H1,H4=I1,K4=M1,L4=N1,M4=O1,N4=P1,O4=Q1,P4=R1,Q4=S1,R4=T1,W1=X3,U1=Z3,Y1=A4,G1=F4,U1=S4,V1=T4,W1=U4,X1=V4,Y1=W4,Z1=X4,A2=Y4,0>=Y1,G1>=1] 66.17/66.25 66.17/66.25 * Chain [58]: 0 66.17/66.25 with precondition: [Y=1,W3=6,X3=12,Y3=1,A4=1,D4=12,F4=1,Z4=1,W1=U,X1=V,Z1=W,V1=X,U1=Z,Y1=A1,A2=B1,I4=K1,J4=L1,K4=M1,L4=N1,M4=O1,N4=P1,O4=Q1,P4=R1,Q4=S1,R4=T1,Z3=B4,V1=C4,X1=E4,Z1=G4,A2=H4,U1=S4,V1=T4,W1=U4,X1=V4,Y1=W4,Z1=X4,A2=Y4,G1>=1,Y1>=1,Z3>=1] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f89(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7): 66.17/66.25 * Chain [[62]]...: 1*it(62)+0 66.17/66.25 with precondition: [J=B1,G=X,I=W,B=V,A=12,F>=1,H=1,1>=K,A1>=1,G1>=1,W3>=4,5>=W3] 66.17/66.25 66.17/66.25 * Chain [[62],67]: 1*it(62)+0 66.17/66.25 with precondition: [A=12,H=1,U=12,A1=1,E1=12,G1=1,W3=4,B=V,I=W,G=X,J=B1,Z=C1,G=D1,B=F1,I=H1,J=I1,1>=K,F>=1,Z>=1] 66.17/66.25 66.17/66.25 * Chain [[62],66]: 1*it(62)+0 66.17/66.25 with precondition: [A=12,H=1,U=12,A1=1,E1=12,G1=1,W3=4,B=V,I=W,G=X,J=B1,Z=C1,G=D1,B=F1,I=H1,J=I1,1>=K,F>=1,Z>=1] 66.17/66.25 66.17/66.25 * Chain [[62],65]: 1*it(62)+0 66.17/66.25 with precondition: [A=12,H=1,U=12,A1=1,E1=12,G1=1,W3=5,X3=12,E4=1,R4=13,V4=0,X4=0,B5=12,D5=1,G5=1,H5=0,I5=0,L5=13,N5=0,Q5=0,T5=12,V5=1,Y5=1,B=V,I=W,G=X,J=B1,Z=C1,G=D1,B=F1,I=H1,J=I1,B=Y3,C=Z3,D=A4,E=B4,F=C4,G=D4,I=F4,J=G4,K=H4,L=I4,M=J4,N=K4,O=L4,P=M4,Q=N4,R=O4,S=P4,T=Q4,B=S4,I=T4,G=U4,J=Y4,G=A5,B=C5,I=E5,J=F5,W4=J5,G=K5,B=M5,I=O5,J=P5,Z4=R5,G=S5,B=U5,I=W5,J=X5,C2=Z5,D2=A6,E2=B6,F2=C6,G2=D6,H2=E6,I2=F6,J2=G6,K2=H6,L2=I6,M2=J6,N2=K6,O2=L6,P2=M6,Q2=N6,R2=O6,S2=P6,T2=Q6,U2=R6,V2=S6,W2=T6,X2=U6,Y2=V6,Z2=W6,A3=X6,B3=Y6,C3=Z6,D3=A7,E3=B7,F3=C7,G3=D7,H3=E7,I3=F7,J3=G7,K3=H7,L3=I7,M3=J7,N3=K7,O3=L7,P3=M7,Q3=N7,R3=O7,1>=K,0>=W4,F>=1,Z>=1,Z4>=1] 66.17/66.25 66.17/66.25 * Chain [67]: 0 66.17/66.25 with precondition: [A=12,H=1,U=12,A1=1,E1=12,G1=1,W3=4,B=V,I=W,G=X,C1=Z,J=B1,G=D1,B=F1,I=H1,J=I1,1>=K,F>=1,C1>=1] 66.17/66.25 66.17/66.25 * Chain [66]: 0 66.17/66.25 with precondition: [A=12,H=1,U=12,A1=1,E1=12,G1=1,W3=4,B=V,I=W,G=X,C1=Z,J=B1,G=D1,B=F1,I=H1,J=I1,1>=K,F>=1,C1>=1] 66.17/66.25 66.17/66.25 * Chain [65]: 0 66.17/66.25 with precondition: [A=12,H=1,U=12,A1=1,E1=12,G1=1,W3=5,X3=12,E4=1,R4=13,V4=0,X4=0,B5=12,D5=1,G5=1,H5=0,I5=0,L5=13,N5=0,Q5=0,T5=12,V5=1,Y5=1,Z3=C,A4=D,B4=E,I4=L,J4=M,K4=N,L4=O,M4=P,N4=Q,O4=R,P4=S,Q4=T,B=V,I=W,G=X,C1=Z,J=B1,G=D1,B=F1,I=H1,J=I1,Z5=C2,A6=D2,B6=E2,C6=F2,D6=G2,E6=H2,F6=I2,G6=J2,H6=K2,I6=L2,J6=M2,K6=N2,L6=O2,M6=P2,N6=Q2,O6=R2,P6=S2,Q6=T2,R6=U2,S6=V2,T6=W2,U6=X2,V6=Y2,W6=Z2,X6=A3,Y6=B3,Z6=C3,A7=D3,B7=E3,C7=F3,D7=G3,E7=H3,F7=I3,G7=J3,H7=K3,I7=L3,J7=M3,K7=N3,L7=O3,M7=P3,N7=Q3,O7=R3,B=Y3,F=C4,G=D4,I=F4,J=G4,K=H4,B=S4,I=T4,G=U4,J=Y4,C1=Z4,G=A5,B=C5,I=E5,J=F5,W4=J5,G=K5,B=M5,I=O5,J=P5,C1=R5,G=S5,B=U5,I=W5,J=X5,1>=K,0>=W4,F>=1,C1>=1] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3,X3,Y3,Z3,A4,B4,C4,D4,E4,F4,G4,H4,I4,J4,K4,L4,M4,N4,O4,P4,Q4,R4,S4,T4,U4,V4,W4,X4,Y4,Z4,A5,B5,C5,D5,E5,F5,G5,H5,I5,J5,K5,L5,M5,N5,O5,P5,Q5,R5,S5,T5,U5,V5,W5,X5,Y5,Z5,A6,B6,C6,D6,E6,F6,G6,H6,I6,J6,K6,L6,M6,N6,O6,P6,Q6,R6,S6,T6,U6,V6,W6,X6,Y6,Z6,A7,B7,C7,D7,E7,F7,G7,H7,I7,J7,K7,L7,M7,N7,O7): 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79]]...: 22*it(70)+0 66.17/66.25 with precondition: [1>=K] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],89]...: 23*aux(7)+0 66.17/66.25 with precondition: [W3=8,X3=12,E4=1,H4=1,R4=13,X4=0,I5=0,N7=0,O7=0,Y3=S4,F4=T4,D4=U4,G4=Y4,D4=Q6,Y3=S6,F4=U6,G4=V6,D4=Z6,Y3=B7,F4=D7,G4=E7,1>=K,0>=W4,0>=H5,C4>=1,X6>=1] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],88]...: 23*aux(8)+0 66.17/66.25 with precondition: [W3=4,1>=K] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],87]...: 24*it(70)+0 66.17/66.25 with precondition: [W3=8,V4=0,B5=12,D5=1,G5=1,H5=0,L5=13,N5=0,Q5=0,T5=12,V5=1,Y5=1,R6=13,T6=0,W6=0,N7=0,O7=0,D4=A5,Y3=C5,F4=E5,G4=F5,P6=J5,D4=K5,Y3=M5,F4=O5,G4=P5,Z4=R5,D4=S5,Y3=U5,F4=W5,G4=X5,D4=Q6,Y3=S6,F4=U6,G4=V6,1>=K,0>=P6,C4>=1,H4>=1,Z4>=1] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],86]...: 23*it(70)+0 66.17/66.25 with precondition: [W3=8,V4=0,H5=0,L5=13,N5=0,Q5=0,R6=13,T6=0,W6=0,N7=0,O7=0,C4=J5,D4=K5,Y3=M5,F4=O5,G4=P5,C4=P6,D4=Q6,Y3=S6,F4=U6,G4=V6,1>=K,0>=C4,H4>=1] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],85]...: 24*it(70)+0 66.17/66.25 with precondition: [W3=8,N7=0,O7=0,D4=Q6,Y3=S6,F4=U6,G4=V6,1>=K,0>=H5,C4>=1,H4>=1] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],84]: 23*aux(9)+0 66.17/66.25 with precondition: [W3=8,X3=12,E4=1,H4=1,R4=13,V4=0,X4=0,B5=12,D5=1,G5=1,H5=0,I5=0,L5=13,N5=0,Q5=0,T5=12,V5=1,Y5=1,R6=13,T6=0,W6=0,N7=0,O7=0,Y3=S4,F4=T4,D4=U4,G4=Y4,D4=A5,Y3=C5,F4=E5,G4=F5,D4=K5,Y3=M5,F4=O5,G4=P5,Z4=R5,D4=S5,Y3=U5,F4=W5,G4=X5,J5=P6,D4=Q6,Y3=S6,F4=U6,G4=V6,D4=Z6,Y3=B7,F4=D7,G4=E7,1>=K,0>=W4,0>=J5,C4>=1,Z4>=1,X6>=1] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],83]: 22*it(70)+0 66.17/66.25 with precondition: [W3=8,X3=13,E4=0,H4=1,V4=0,H5=0,L5=13,N5=0,Q5=0,H6=13,N6=0,O6=0,R6=13,T6=0,W6=0,N7=0,O7=0,L6=C4,L6=J5,D4=K5,Y3=M5,F4=O5,G4=P5,Y3=I6,F4=J6,D4=K6,G4=M6,L6=P6,D4=Q6,Y3=S6,F4=U6,G4=V6,D4=Z6,Y3=B7,F4=D7,G4=E7,1>=K,0>=L6,X6>=1] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],82]: 22*it(70)+0 66.17/66.25 with precondition: [W3=4,1>=K] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],81]: 22*it(70)+0 66.17/66.25 with precondition: [W3=4,1>=K] 66.17/66.25 66.17/66.25 * Chain [[68,69,70,71,72,73,74,75,76,77,78,79],80]: 23*aux(10)+0 66.17/66.25 with precondition: [W3=4,1>=K] 66.17/66.25 66.17/66.25 * Chain [88]...: 1*aux(8)+0 66.17/66.25 with precondition: [W3=4,1>=K,F>=1] 66.17/66.25 66.17/66.25 * Chain [87]...: 2*s(60)+0 66.17/66.25 with precondition: [W3=8,V4=0,B5=12,D5=1,G5=1,H5=0,L5=13,N5=0,Q5=0,T5=12,V5=1,Y5=1,R6=13,T6=0,W6=0,N7=0,O7=0,D4=A5,Y3=C5,F4=E5,G4=F5,D4=K5,Y3=M5,F4=O5,G4=P5,Z4=R5,D4=S5,Y3=U5,F4=W5,G4=X5,J5=P6,D4=Q6,Y3=S6,F4=U6,G4=V6,1>=K,0>=J5,F>=1,C4>=1,H4>=1,Z4>=1] 66.17/66.25 66.17/66.25 * Chain [86]...: 1*s(62)+0 66.17/66.25 with precondition: [W3=8,V4=0,H5=0,L5=13,N5=0,Q5=0,R6=13,T6=0,W6=0,N7=0,O7=0,C4=J5,D4=K5,Y3=M5,F4=O5,G4=P5,C4=P6,D4=Q6,Y3=S6,F4=U6,G4=V6,1>=K,0>=C4,F>=1,H4>=1] 66.17/66.25 66.17/66.25 * Chain [85]...: 2*s(63)+0 66.17/66.25 with precondition: [W3=8,N7=0,O7=0,S6=Y3,Q6=D4,U6=F4,V6=G4,1>=K,0>=H5,F>=1,C4>=1,H4>=1] 66.17/66.25 66.17/66.25 * Chain [82]: 0 66.17/66.25 with precondition: [W3=4,0>=F,1>=K] 66.17/66.25 66.17/66.25 * Chain [81]: 0 66.17/66.25 with precondition: [W3=4,1>=K] 66.17/66.25 66.17/66.25 * Chain [80]: 1*aux(10)+0 66.17/66.25 with precondition: [W3=4,1>=K,F>=1] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f53_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,S3,T3): 66.17/66.25 * Chain [91]: 0 66.17/66.25 with precondition: [A=4] 66.17/66.25 66.17/66.25 * Chain [90]: 0 66.17/66.25 with precondition: [A=8] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f22_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,S3,T3): 66.17/66.25 * Chain [98]...: 1*aux(12)+0 66.17/66.25 with precondition: [A=9,C=0,D=0,E=0,F=0,I=0,L=0] 66.17/66.25 66.17/66.25 * Chain [97]...: 1*aux(13)+0 66.17/66.25 with precondition: [A=9,C=0,D=0,E=0,F=0,I=0,L=0,G>=1] 66.17/66.25 66.17/66.25 * Chain [96]: 0 66.17/66.25 with precondition: [A=4,C=0,D=0,E=0,F=0,I=0,L=0] 66.17/66.25 66.17/66.25 * Chain [95]: 0 66.17/66.25 with precondition: [A=8,C=0,D=0,E=0,F=0,I=0,L=0] 66.17/66.25 66.17/66.25 * Chain [94]: 1*aux(14)+0 66.17/66.25 with precondition: [A=9,C=0,D=0,E=0,F=0,I=0,L=0] 66.17/66.25 66.17/66.25 * Chain [93]: 0 66.17/66.25 with precondition: [A=9,C=0,D=0,E=0,F=0,I=0,L=0,0>=G] 66.17/66.25 66.17/66.25 * Chain [92]: 1*s(90)+0 66.17/66.25 with precondition: [A=9,C=0,D=0,E=0,F=0,I=0,L=0,G>=1] 66.17/66.25 66.17/66.25 66.17/66.25 #### Cost of chains of f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3): 66.17/66.25 * Chain [100]: 1*aux(15)+0 66.17/66.25 with precondition: [] 66.17/66.25 66.17/66.25 * Chain [99]...: 1*aux(16)+0 66.17/66.25 with precondition: [] 66.17/66.25 66.17/66.25 66.17/66.25 Closed-form bounds of f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3): 66.17/66.25 ------------------------------------- 66.17/66.25 * Chain [100] with precondition: [] 66.17/66.25 - Upper bound: inf 66.17/66.25 - Complexity: infinity 66.17/66.25 * Chain [99]... with precondition: [] 66.17/66.25 - Upper bound: inf 66.17/66.25 - Complexity: infinity 66.17/66.25 66.17/66.25 ### Maximum cost of f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2,I2,J2,K2,L2,M2,N2,O2,P2,Q2,R2,S2,T2,U2,V2,W2,X2,Y2,Z2,A3,B3,C3,D3,E3,F3,G3,H3,I3,J3,K3,L3,M3,N3,O3,P3,Q3,R3,W3): inf 66.17/66.25 Asymptotic class: infinity 66.17/66.25 * Total analysis performed in 62390 ms. 66.17/66.25 66.24/66.35 EOF